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Finding the Fourth Proportional to 498,243.10, 747,271.52 and 133,509

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Solution

The fourth proportional to 498,243.10, 747,271.52 and 133,509 is: 200,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,243.10 : 747,271.52 = 133,509 : x
  2. Step 2: Convert to fraction form
    498,243.10/747,271.52 = 133,509/x
  3. Step 3: Cross multiply
    498,243.10x = 747,271.52 × 133,509
  4. Step 4: Simplify right side
    498,243.10x = 99,767,473,363.68
  5. Step 5: Solve for x
    x = 99,767,473,363.68/498,243.10
  6. Step 6: Final answer
    x = 200,238.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.